Kind of. AI is now the catch all now but that’s because LLM were called generative AI. So the older terms all followed suit to catch the hype train. But most of the problems with AI are LLM specifics.
Generative AI is a specific subset of Deep Learning, which is a subset of Machine Learning, which is a subset of AI. Generative AI includes more than just LLMs. It also includes the image and video AI creations. There are also GenAI than makes music.
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Machine Learning is typically creating versions of things that existed prior, or recreating things from behavior extracted from prior data. Deep Learning is similar but employs neural networks of various types. The distinction between GenAI and Deep Learning is that GenAI creates something that never existed before, essentially original works.
Your base point in this conversation stands though. The Deep Learning used in science for analyzing patterns or behavior in, say, biology, is very different (and its more useful) than GenAI and the slop it can produce.